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Nordhaus-Guddam Type Relations of Three Graph Coloring Parameters

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 نشر من قبل Ko-Wei Lih
 تاريخ النشر 2012
  مجال البحث
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Let G be a simple graph. A coloring of vertices of G is called (i) a 2-proper coloring if vertices at distance 2 receive distinct colors; (ii) an injective coloring if vertices possessing a common neighbor receive distinct colors; (iii) a square coloring if vertices at distance at most 2 receive distinct colors. In this paper, we study inequalities of Nordhaus-Guddam type for the 2-proper chromatic number, the injective chromatic number, and the square chromatic number.

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